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Consistency based completion approaches of incomplete preference relations in uncertain decision contexts

Raquel Urena, Francisco Chiclana, Enrique Herrera-Viedma
2015 2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)  
This contribution presents the main consistency based completion approaches to estimate incomplete preference values in linguistic, intuitionistic and interval fuzzy PRs.  ...  Under these circumstances, various families of preference relations (PRs) have been proposed (linguistic, intuitionistic and interval fuzzy PRs) to allow the experts to manifest some degree of hesitation  ...  On the other hand, other optimization methods are based on Saaty's assumption for Multiplicative PRs, MPRs, regarding the exact functional relation between the preference values and the priority vector  ... 
doi:10.1109/fuzz-ieee.2015.7338034 dblp:conf/fuzzIEEE/UrenaCH15 fatcat:keonxtkftfelfizxfqylwze47e

Managing incomplete preference relations in decision making: A review and future trends

R. Ureña, F. Chiclana, J.A. Morente-Molinera, E. Herrera-Viedma
2015 Information Sciences  
This paper presents and analyses methods and processes developed on this area towards the estimation of missing preferences in decision making, and highlights some areas for future research.  ...  Therefore, alternative approaches to manage incomplete preference relations that estimates the missing information in decision making are desirable and possible.  ...  format: additive, multiplicative, intuitionistic, interval and linguistic preference relations.  ... 
doi:10.1016/j.ins.2014.12.061 fatcat:7ubwojtjazcnlkdsulnlgrfml4

Neutrosophic Sets and Systems, vol.10/2015

Florentin Smarandache, Mumtaz Ali
2018 Figshare  
in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc  ...  "Neutrosophic Sets and Systems" has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started  ...  Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20(1986)87-96. References [2] K. Atanassov, Intuitionistic fuzzy sets, Springer, Heidelberg, 1999.  ... 
doi:10.6084/m9.figshare.6199118 fatcat:rknou2joercepbzd3j67fc3ioe

Fuzzy Sets: History and Basic Notions [chapter]

Didier Dubois, Walenty Ostasiewicz, Henri Prade
2000 Fundamentals of Fuzzy Sets  
Lastly, a survey of variants of fuzzy sets and related matters is provided.  ...  Looking back to the history of sciences, it seems that fuzzy sets were bound to appear at some point in the 20th century.  ...  Preference and plausibibility are derived notions, mainly because of their epistemic nature.  ... 
doi:10.1007/978-1-4615-4429-6_2 fatcat:sboduqw2l5a4beutph36bfynku

The Emergence of Fuzzy Sets: A Historical Perspective [chapter]

Didier Dubois, Henri Prade
2016 Studies in Fuzziness and Soft Computing  
The report gathers 8 papers, and thus covers many issues in relation with fuzzy sets.  ...  sciences to industrial applications.  ...  See [17] for a full-fledged discussion on intuitionistic fuzzy sets and interval-valued fuzzy sets, and [26] for the clash of intuitions between notions of bipolarity and uncertainty pervading intuitionistic  ... 
doi:10.1007/978-3-319-31093-0_1 fatcat:zc63ekhuend2ddmj5tvor5m7yq

Rational mechanics and natural mathematics [chapter]

Vaughan Pratt
1995 Lecture Notes in Computer Science  
Lifting the two-valued Boolean logic of binary relations to the complexvalued fuzzy logic of quantum mechanics transforms residuation into a natural generalization of the inner product operation of a Hilbert  ...  Chu spaces have found applications in computer science, mathematics, and physics. They enjoy a useful categorical duality analogous to that of lattice theory and projective geometry.  ...  For example Chu 8 realizes the category of ternary relational structures, which in turn realizes the category of groups and group homomorphisms (since its multiplication is the ternary relation xy = z)  ... 
doi:10.1007/3-540-59293-8_190 fatcat:xb447ipcbbdg5p4bmqag3lkf7e

Neutrosophic Sets and Systems, vol. 14/2016

FLORENTIN SMARANDACHE, Mumtaz Ali
2018 Figshare  
in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.  ...  "Neutrosophic Sets and Systems" has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started  ...  of the classical, fuzzy [2] , interval-valued [3, 4] , intuitionistic [5] and interval-valued intuitionistic [6] fuzzy sets.  ... 
doi:10.6084/m9.figshare.6199148.v1 fatcat:hnkuudvqr5c3nog5y7l4bj4dne

Probability and Statistics [chapter]

2011 Discrete Mathematics and Its Applications  
Le and Ivan Stojmenovic for encouragement and invitation to write this paper.  ...  Le and Ivan Stojmenovic for encouragement and invitation to write this and the following papers. Acknowledgements: The author would like to thank Drs. C.  ...  For example, the probabilistic logic, interval-valued fuzzy logic, interval-valued intuitionistic fuzzy logic, possibility logic (Dubois, Prade) use approximations.  ... 
doi:10.1201/b10980-8 fatcat:folvs55wujcxtcqkq5b32h24ke

Fuzzy-Set Based Logics — an History-Oriented Presentation of their Main Developments [chapter]

Didier Dubois, Francesc Esteva, Lluís Godo, Henri Prade
2007 Handbook of the History of Logic  
Of course, the development of fuzzy sets and fuzzy logic takes its roots in concerns already encountered in non-classical logics in the first half of the century, when the need for intermediary truth-values  ...  Indeed, fuzzy sets membership grades can be interpreted in various ways which play a role in human reasoning, such as levels of intensity, similarity degrees, levels of uncertainty, and degrees of preference  ...  Understanding the semantics of the different models of fuzzy rules is a key issue for figuring out their range of applicability and their proper processing.  ... 
doi:10.1016/s1874-5857(07)80009-4 fatcat:s4i5zfomgzbxnfbuif5ffsesea

3 Coevolutionary Fuzzy Modeling [chapter]

Carlos Andrés Peña Reyes
2004 Lecture Notes in Computer Science  
We can relate our previous discussion about fuzzy sets with our need for a formal basis for fuzzy logic taking advantage of the fact that "it is well established that propositional logic is isomorphic  ...  Such linearity assumption limits their applicability in fuzzy modeling and asks for the development of methods applying nonlinear least-squares parameter estimation [90] .  ...  Integration within knowledge-engineering environments As mentioned in Chapter1, knowledge engineering is the best alternative to designing large and hierarchic explanatory systems.  ... 
doi:10.1007/978-3-540-30118-9_3 fatcat:hbgmn3lfhff2lafkkghyglm56a

Papers published in Journal of Computer Science and Cybernetics: 1984-2014

2015 Journal of Computer Science and Cybernetics  
(Microprosessors, micro computer and the probabilities of their wide applications in our country.) 9 Trần Vũ Thiệu -Về hai bài toán trên tập lồi đa diện. ( On two problems over polyhedral convex sets.)  ...  (On the application of fuzzy set theory in relational database.) 16 Phạm Văn Lang, Nguyễn Huy Mỹ, Nguyễn Tuấn Anh, Trần Minh Châu, Lê Sỹ Hùng, Nguyễn Thái Hưng -Thư viện chương trình xử lí thông tin ban  ...  (An expression for measyring the degree of the truth of inclusion with interval-valued fuzzy sets and application to resoning based on fuzzy sets.) 149 Nguyễn Kim Anh -Đại số khối trên các cơ sở dữ liệu  ... 
doi:10.15625/1813-9663/30/4/5854 fatcat:2k5lfinqmfelng2vb2rsjmxd5a

Categorical Ontology of Complex Spacetime Structures: The Emergence of Life and Human Consciousness

I. C. Baianu, R. Brown, J. F. Glazebrook
2007 Axiomathes  
and life's multiple logics, LM-and Q-logic Á Organismic categories and relational patterns Á Abelian vs. non-Abelian theories Á Commutativity limitations in logics, mathematics, physics and emergent systems  ...  The intrinsic dynamic 'asymmetry' of genetic networks in organismic development and evolution is investigated in terms of categories of many-valued, Łukasiewicz-Moisil logic algebras and then compared  ...  The multiplicity of boundaries, and the dynamics that derive from it, generate interesting phenomena.  ... 
doi:10.1007/s10516-007-9011-2 fatcat:m3kuram2fjcwze4mkmfxk2akwu

A history of AI and Law in 50 papers: 25 years of the international conference on AI and Law

Trevor Bench-Capon, Michał Araszkiewicz, Kevin Ashley, Katie Atkinson, Floris Bex, Filipe Borges, Daniele Bourcier, Paul Bourgine, Jack G. Conrad, Enrico Francesconi, Thomas F. Gordon, Guido Governatori (+12 others)
2012 Artificial Intelligence and Law  
We provide a retrospective of 25 years of the International Conference on AI and Law, which was first held in 1987.  ...  Fifty papers have been selected from the thirteen conferences and each of them is described in a short subsection individually written by one of the 24 authors. These subsections attempt to place the  ...  We can extend the application of precedents by identifying the value preferences they express and then applying these value preferences to different sets of factors representing the same value preference  ... 
doi:10.1007/s10506-012-9131-x fatcat:g4qgrfrwyjcphdghpqlgfarxdy

Number 22-2012 RATIO MATHEMATICA Journal of Foundations and Applications of Mathematics HONORARY CHIEF EDITOR CHIEF EDITORS About a definition of metric over an abelian linearly ordered group

Franco Eugeni, Antonio Maturo, Ioan Tofan, Bice Cavallo, Livia Apuzzo
unpublished
We consider a particular G metric derived by the group operation ⊙ and the total weak order ≤, and show that it provides a base for the order topology associated to G.  ...  This research is partially supported by the Research Center in Algebraic Hyperstructures and Fuzzy Mathematics, University of Mazandaran, Babolsar, Iran.  ...  Dass, Department of Mathematics, University of Delhi for his valuable suggestions, revising the contents and bringing the paper to the current form.  ... 
fatcat:qamaj65ehng2jlnjdku5okzvuu

Scientia Magna, Vol. 7, No. 1 [article]

Wenpeng, Zhang (editor)
2011 Zenodo  
An international journal edited by Department of Mathematics of Northwest University, Xi'an, Shaanxi, P.R.China, published annually in 400-500 pages per volume and 1,000 copies, also available in microfilm  ...  Papers in science (mathematics, physics, philosophy, psychology, sociology, linguistics).  ...  Acknowledgements The author is greatly indebted to the referee for several useful suggestions and valuable comments which led to improvement the exposition.  ... 
doi:10.5281/zenodo.9004 fatcat:v375kc6dqbb7zoympnd3x3zmx4
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